Answer:
a²+b²=c²
7.5²+9²=c²
137.25=c²
√137.25=c²
11.72.... = c
The Radius of the circle is approximately 11.72cm
Step-by-step explanation:
Using this data. Create a Triangle with the Chord and Center of the dot. We know the distance between the chord and center which is one length of one of the sides.
We split the chord from the intersecting line from the center to the chord making the second line being 7.5cm
After We draw a line from the center of the circle to where the chord meets to the edge of the circle to create the triangle
We now have 2 measurements and can use Pythagorean Theorem to determine the radius from the missing length of the triangle.
In the xy-plane, a line that has the equation y = c for some constant c intersects a parabola at exactly one point . If the parabola has the equation y=-x^ 2 +5x. what is the value of c?
Answer:
c=6.25
Step-by-step explanation:
If a line that is flat (has a slope of zero) hits only one point of the parabola, it means that point is the vertex of the parabola.
In this case your equation is ---
y= –x^2 + 5x
--- and you just need to write in vertex for the equation:
y=a(x–h)^2 + k
y= –(x–2.5)^2 + 6.25
The vertex is (h,k) or (2.5,6.25)
Since the equation is "y=", k=c
or c=6.25
Thank You.
In this question:
We have to find the point of intersection of the line and the parabola.To do this, we have to apply concepts needed to solve a quadratic equation.Doing this, we find that the value is: [tex]c = \frac{25}{4}[/tex]
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]
[tex]\Delta = b^{2} - 4ac[/tex]
Line: y = c
Parabola: y = -x^ 2 +5x.
The intersection is at the point:
[tex]-x^2 + 5x = c[/tex]
[tex]-x^2 + 5x - c = 0[/tex]
[tex]x^2 - 5x + c = 0[/tex]
Which is a quadratic equation with [tex]a = 1, b = -5[/tex].
The line and the parabola intersect at exactly one point, which means that the quadratic equation has one solution, that is, [tex]\Delta = 0[/tex].
Since:
[tex]\Delta = b^{2} - 4ac[/tex]
It means that:
[tex]b^2 - 4ac = 0[/tex]
We use this to find the value of c.
[tex](-5)^2 - 4(1)(c) = 0[/tex]
[tex]4c = 25[/tex]
[tex]c = \frac{25}{4}[/tex]
The value is: [tex]c = \frac{25}{4}[/tex]
A similar question is found at https://brainly.com/question/15211279
Which sequence are geometric? Select three options
Rebecca is buying groceries and there is a 9% sales tax. Her total before tax is $67.
Which answer gives the best estimate for her total after tax?
1.)$134
2.) $603
3.) $60
4.) $75
A car’s speed before a sudden stop can be estimated by the formula
S = √(30gk) , where
S = speed of the car in mph,
g = drag factor, and
k = length of skid mark in feet.
The drag factor during a recent crash was 1. What was the approximate speed of the car if it created skid marks 30 feet long?
a. 30 mph
b. 45 mph
c. 60 mph
d. 90 mph
Answer:
S = 30 mph
Step-by-step explanation:
A car’s speed before a sudden stop can be estimated by the formula :
[tex]S=\sqrt{30gk}[/tex]
Here,
S = speed of the car in mph,
g = drag factor, and
k = length of skid mark in feet
If drag factor is 1, k = 30 feet
So,
[tex]S=\sqrt{30\times 1\times 30}\\\\S=30\ mph[/tex]
Therefore, the correct option is (a) 30 mph.
PLEASE HELP ME!
How can I figure out the length of the short leg on a 30-60-90 right triangle without measuring it. And how can I determine the hypotenuse of the same triangle without measuring it.
What is the slope of the line passing through the following points:
(1,3) & (5,0)
Answer:
-3/4
Step-by-step explanation:
We can find the slope by using
m = (y2-y1)/(x2-x1)
= (0-3)/(5-1)
= -3 / 4
Answer:
Step-by-step explanation:
[tex]slope=\frac{y_{2}-y_{1}}{y_{2}-y_{1}}\\\\=\frac{0-3}{5-1}\\\\=\frac{-3}{4}[/tex]
-3s + 5 = s + 13
In a linear equation
please help i'm literally terrible at this !
AB have a 90° angle with BC, so the angles ABD + CBD = 90
(7x - 9)° + 4x° = 90°
7x + 4x = 90 + 9
11x = 99
x = 99/11
x = 9
So the angles are:
7x - 9 -> 7.9 - 9 = 54°
4.9 = 36°
Answer:
m<CBD equals 54
Step-by-step explanation:
Since that is a right angle do (7x-9)+(4x)=90
=11x-9=90
=11x=99
x=9
CBD=7x-9
7(9)-9=54
Hope this helps
Complete the rule:
positive + positive =
Answer:
Positive
Step-by-step explanation:
Positive plus positive is positive. For example, 3+3. That will be 6. 3 is positive both times. And six is positive.
Equation 1: -4x + y = 6
Equation 2: -5x - y = 21
Which variable is easiest to solve for?
A.The easiest to solve for is x in the first equation.
B.The easiest to solve for is y in the first equation.
C.The easiest to solve for is x in the second equation.
D.The easiest to solve for is y in the second equation.
Answer:
BStep-by-step explanation:
y in equation 1, since you just
-4x + y = 6
add 4x to both sides to get
y = 4x + 6
while for the rest of the variables in both equations, you need at least two steps
Thus, the answer is B
Answer:
B. The easiest to solve for is Y in the first equation.
Step-by-step explanation:
Since the y has no coefficient in both equations, we look at the steps we take to solve. Equation 2 has to make you multiply negative one by both sides to make y positive, and THEN you would have to subtract 5x from both sides. However, with the first equation, all we need to do to solve for Y is add 4x to both sides. The answer? B. The easiest to solve for is Y in the first equation.
Classify the following triangle?
Answer:
B.
Step-by-step explanation:
The triangle is obtuse because there only has to be one obtuse angle for it to be obtuse.
Answer:obtuse
Step-by-step explanation: it’s 180 degrees
Given: F(x) = x + 2 and G(x) = 3x + 5
(F*G) (x) =
Answer:
[tex] \boxed{(f \times g)(x) = 3 {x}^{2} + 11x + 10} [/tex]
Given:
[tex]f(x) = x + 2 \\ \\ g(x) = 3x + 5[/tex]
To Find:
[tex] (f \times g)(x) = f(x) \times g(x)[/tex]
Step-by-step explanation:
[tex]= > f(x) \times g(x) = (x + 2)( 3x + 5) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =x( 3x + 5) + 2(3x + 5) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3 {x}^{2} + 5x + 6x + 10\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3 {x}^{2} + 11x + 10[/tex]
Answer:
[tex]\boxed{(f \times g)(x) = 3 {x}^{2} + 11x + 10}[/tex]
Step-by-step explanation:
Foil:
x times 2x
2 times 3x
x times 5
2 times 5
then add them all up
Help me sorry im not good at math
Answer:
D SORRY IF WRONG
Step-by-step explanation:
Answer:
D is the correct answer
Which type of science is economics? A. physical science B. social science C. life science D. applied science
Answer:The answer is B
Step-by-step explanation:
The ordered pair below is a solution to which equation?
(4,12)
Answer:
C.
Step-by-step explanation:
x= 4, y = 12
A . y = 6x
12 = 6*4
12 = 24 false
C. y = 3x
12 = 3*4
12 = 12 true
solve for y in this equation
Answer:
y= -1 1/3
Decimal form: -1.3
What's the 10th term of a sequence with an explicit rule of f(n) = 5 + 2(n – 1)?
A. f(10) = 23
B. f(10) = –5
C. f(10) = 13
D. f(10) = 20
Answer:
A
Step-by-step explanation:
Substitute n = 10 into the explicit formula , that is
f(10) = 5 + 2(10 - 1) = 5 + (2 × 9) = 5 + 18 = 23 → A
I need help on this.
Answer:
Evaluate the terms inside of the parentheses
Step-by-step explanation:
According to PEMDAS, you always start solving an equation by answering what is inside of the parentheses first. (That's what the 'P' in PEMDAS stands for!)
Therefore, this is the correct answer.
Dogs in the GoodDog Obedience School win a blue ribbon for learning how to sit, a green ribbon for learning how to roll over, and a white ribbon for learning how to stay. There are 100 dogs in the school.
62 have blue ribbons, 55 have green ribbons, and 63 have white ribbons.
32 have a blue ribbon and a green ribbon 31 have a green ribbon and a white ribbon; 38 have a blue ribbon and a white ribbon.
16 have all three ribbons.
How many dogs have not learned any tricks?
Answer:
5
Step-by-step explanation:
The 32 that have blue and green ribbons include the 16 that have all three, so there are only 32 -16 = 16 that have only blue and green ribbons.
The 31 that have green and white ribbons likewise include the 16 with all three, so there are only 31 -16 = 15 that have only green and white ribbons.
The 38 that have blue and white ribbons include the 16 with all three, so there are only 38 -16 = 22 that have only green and white ribbons.
__
If we add the numbers of blue, green, and white ribbons, we are counting twice the numbers that have 2 ribbons, and 3 times the numbers that have 3 ribbons. We want to count each kind of ribbon-holder only once. Hence the number of individual dogs with any number of ribbons is only ...
62 +55 +63 -(16 +15 +22) -2(16) = 95
Of the 100 dogs, 95 have ribbons, so 5 dogs have not learned any tricks.
Students were asked to write 6x^5 + 8x - 3x^3 + 7x^7 in standard form.
Shown below are four student
responses.
Anne: 7x^7 + 6x^5 – 3x^3 + 8x
Bob: -3x^3 + 6x^5 + 7x^7 + 8x
Carrie: 8x + 7x^7 + 6x^5 – 3x^3
Dylan: 8x - 3x^3 + 6x^5 + 7x^7
Which student is correct?
Anne: 7x^7 + 6x^5 – 3x^3 + 8x
On their first dive, researchers explore a part of the ocean floor that is 60 feet
below sea level. This depth can be represented by the integer -60. On their
second dive, researchers explore a deeper depth.
Write an inequality that represents the possible depth, d, of the researchers'
second dive.
Answer:
d < -60
Step-by-step explanation:
Let d represent the depth of the researchers' second dive.
Given;
Depth of First dive = -60 ft
It was stated that in their second dive, the researchers explore a deeper depth, That is depth deeper than 60 ft.
Since the depth of 60ft is represented by the integer -60,
Deeper depth would be represented by integers less than -60.
So, d can be represented as;
d < -60
Answer:
d < -60
Step-by-step explanation:
Let d represent the depth of the researchers' second dive.
Depth of First dive = -60 ft
It was stated that in their second dive, the researchers explore a deeper depth, That is depth deeper than 60 ft.
Since the depth of 60ft is represented by the integer -60,
Deeper depth would be represented by integers less than -60.
So, d can be represented as;
d < -60
Please answer this very simple attachment Correctly!!! Down below.
Answer:
3.47, or B
Step-by-step explanation:
I'm weird so I did it a weird way and subtracted the total amount the book costed from the amount she has left and thats how we got how much more she needs.
8.35 - 4.88 =3.47
Which absolute value function when graphed will be narrow than the graph of the parents function f(x)=|x|
Answer:
f(x) = 4|x|
Step-by-step explanation:
Answer:
The answer is f(x) = 2.9|x| and f(x) = 1.2|x + 8|
Anybody know how to do this?
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Can someone help me with number 8 plz
Answer:
7/23
Step-by-step explanation:
Multiples of 4 are 4 and 8
4 was spun 4 times
8 was spun 3 times
total spins = 2+3+2+4+5+3+1+3=23
P( 4 or 8) = number of times spun / total
= (4+3) / 23
=7/23
What is 30% of 550cm3
Answer:
165cm³
Step-by-step explanation:
30% of 550cm³=30/100 *550cm³=3*55cm³=165cm³
Choose the simplified form of the fifth term of the expansion. -60x2y8 -30x2y8 30x2y8 60x2y8
Answer:
D
Step-by-step explanation:
i just did it
Answer: D
Step-by-step explanation:
What would happen if someone sarhpled a basketball team to find the
average height of a school's student body?
Answer:
Basketball players are normally taller so it would not be accurate
Answer: It wouldn't be valid or reliable because the basketball team is not indicitive of the entire student body. Additionally, sampling just the basketball team is not random nor is it likely a large enough sample size (unless it is a tiny school).
Step-by-step explanation:
Plz help asap
A bag of potatoes weights 30 lb. If 74% of a potato is water, how many pounds of water are there in the bag?
Answer:
22.2 pounds of water are in the baag
Step-by-step explanation:
1 * 0.74 = .74
.74 * 30 = 22.2
Look at Attachment, giving a lot of points for the answer to questions.
Answer:
see below
Step-by-step explanation:
1.
m = (y2-y1)/(x2-x1)
= (90-80)/(0-1)
= 10/-1
=-10
The slope is -10 ft/s
This means the height decreases 10 ft for every second that passes
This is not proportional because it has to go through the point (0,0)
4.
m = (y2-y1)/(x2-x1)
= (1000-0)/(3-0)
= 1000/3
=1000/3
The slope is $1000/3
This means the 1000 dollars is sold every 3 days
This is proportional because it goes through the point (0,0) and has a constant slope
Step-by-step explanation:
Let 'm' be slope
HAWK DIVING TOWARDS PREY:
m = (y2 - y1) / (x2 - x1)
= (90 - 80) / (0 - 1)
= 10 /- 1
= - 10
This is not proportional because it doesn't to go through the point (0, 0)
BOOK SALES:
m = (y2 - y1) / (x2 - x1)
= (1000 - 0) / (3 - 0)
= 1000/3
This is proportional because it goes through the point (0, 0)
Hope this helps!
